scholarly journals A Dynamic Price Game Model in a Low-Carbon, Closed-Loop Supply Chain Considering Return Rates and Fairness Concern Behaviors

2019 ◽  
Vol 16 (11) ◽  
pp. 1978 ◽  
Author(s):  
Qiuxiang Li ◽  
Mengnan Shi ◽  
Yimin Huang
Keyword(s):  
Supply Chain ◽  
Price Adjustment ◽  
Stable Region ◽  
Game Model ◽  
Low Carbon ◽  
Return Rates ◽  
Dynamic Price ◽  
Price Game ◽  
Fairness Concern ◽  
Parameter Values

In this paper, we developed a dynamic price game model for a low-carbon, closed-loop supply chain system in which (1) the manufacturer had fairness concern and carbon emission reduction (CER) behaviors, and market share and profit maximization were their objectives, and (2) the retailer showed fairness concern behaviors in market competition and provided service input to reduce return rates. The retailer recycled old products from customers, and the manufacturer remanufactured the recycled old products. The effects of different parameter values on the stability and utility of the dynamic price game model were determined through analysis and numerical simulation. Results found that an increasing customer loyalty to the direct marketing channel decreased the stable region of the manufacturer’s price adjustment and increase that of the retailer. The stable region of the system shrank with an increase of CER and the retailer’s service level, which expanded with return rates. The dynamic system entered into chaos through flip bifurcation with the increase of price adjustment speed. In the chaotic state, the average utilities of the manufacturer and retailer all declined, while that of the retailer declined even more. Changes to parameter values had a great impact on the utilities of the manufacturer and retailer. By selecting appropriate control parameters, the dynamic system can return to a stable state from chaos again. The research of this paper is of great significance to participants’ price decision-making and supply chain operation management.

scholarly journals The Complexity Analysis for Price Game Model of Risk-Averse Supply Chain Considering Fairness Concern

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Huang Yi-min ◽  
Li Qiu-xiang ◽  
Zhang Yu-hao
Keyword(s):  
Supply Chain ◽  
Risk Aversion ◽  
Stable State ◽  
State Feedback Control ◽  
Game Model ◽  
Online Retailer ◽  
Dual Channel ◽  
Price Game ◽  
Online Channel ◽  
Fairness Concern

This paper, considering risk aversion and fair concern, establishes a dynamic price game model of a dual-channel supply chain in which dual-channel retailer sells products through traditional channel and online channel and the online retailer only sells products through online channel. The stability of the system and the influences of different parameter values on utilities are analyzed emphatically using game theory and nonlinear dynamic theory, such as 2D and 3D bifurcation diagram, parameter plot basin, chaos attractor, and sensitivity to initial value. The results find that the system is more likely to lose stability and fall into chaos with the customer demand fluctuating greatly. The system enters into chaos through flip bifurcation with the increase of the price adjustment speed; adjusting the risk-aversion levels or the fairness concern levels of the two retailers can make the system be in a stable state or delay the occurrence of system instability. When the system is in chaos, the average utility of the online retailer will decrease and one of the dual-channel retailers will increase. Using the state feedback control method, the system can return to a stable state from chaos by selecting appropriate control parameters. The research of this paper is of great significance to the decision-makers’ price decision and supply chain operation management.

scholarly journals Complex Characteristics of Multichannel Household Appliance Supply Chain with the Price Competition

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Junhai Ma ◽  
Wandong Lou
Keyword(s):  
Supply Chain ◽  
Supply Chains ◽  
Price Competition ◽  
Domain Of Attraction ◽  
Bullwhip Effect ◽  
Price Adjustment ◽  
Stable Region ◽  
Supply Chain System ◽  
Household Appliance ◽  
Internet Channel

This paper studies the complex characteristics caused by the price competition in multichannel household appliance supply chains. We consider a two-level household appliance supply chain system consisting of a manufacturer with an Internet channel and a retailer with a traditional channel and an Internet channel. Each channel’s price-setting follows the bounded rational decision process in order to obtain the optimal profit or more market share. Considering that the price competition often leads to the demand and order fluctuation, we also investigate the bullwhip effect of the multichannel supply chains on the basis of the order-up-to-inventory policy. From the numerical simulation, we find a system in a chaotic state will suffer larger bullwhip effect than a stable system, and the manufacturer’s Internet channel is helpful to mitigate the bullwhip effect. Our results provide some useful managerial inspirations for the household manufacturer and retailers. Firstly, each channel should make their retail price with a suitable price adjustment speed in the stable region, and each time pricing cannot exceed the domain of attraction. Secondly, the manufacturer can adopt a more radical pricing strategy in their Internet channel to mitigate the bullwhip effect. Thirdly, the price adjustment should be reviewed and be appropriately reduced if the price adjustment is too large.

scholarly journals Joint emission reduction dynamic optimization and coordination in the supply chain considering fairness concern and reference low-carbon effect

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Ziyuan Zhang ◽  
Liying Yu
Keyword(s):  
Supply Chain ◽  
Dynamic Optimization ◽  
Cost Sharing ◽  
Emission Reduction ◽  
Revenue Sharing ◽  
Marginal Effect ◽  
Low Carbon ◽  
Equilibrium Solutions ◽  
Fairness Concern ◽  
The Impact

<p style='text-indent:20px;'>In the context of low-carbon economy, in order to explore the impact of the fairness concern and reference low-carbon effect on supply chain members' balanced emission reduction decisions and profits, supply chain joint emission reduction dynamic optimization models under four different scenarios are built, in which the manufacturer's optimal emission reduction strategy, the retailer's optimal low-carbon promotion strategy and other equilibrium solutions are solved by differential game theory. On the basis of analysis, a contract is designed to achieve the coordination of the supply chain when members are fairness concern. Some findings are as follows. First, when consumers' purchasing behavior is significantly affected by the reference low-carbon effect, and they have higher expectations for the product's emission reduction level, consumers' reference low-carbon effect will discourage the manufacturer's enthusiasm to reduce emissions, and do harm to the profits of the manufacturer and the retailer. Second, the fairness concern behavior of both parties will aggravate the adverse effects of reference low-carbon effect, bring a detrimental effect on the performance of the supply chain, aggravate the double marginal effect of the supply chain, and cause continuous negative social influence. Third, the bilateral cost-sharing contract can encourage the manufacturer to increase emission reduction investment, the retailer to increase low-carbon promotion investment, and can achieve a Pareto improvement of both parties' profits and utilities. In addition, the two cost-sharing ratios are only proportional to the marginal revenue and fairness concern intensity of both parties. Finally, when the two cost-sharing ratios and the revenue-sharing coefficient meet a certain relationship and are within a reasonable range, the bilateral cost sharing-revenue sharing hybrid contract can reduce the double marginal effect and achieve supply chain coordination.</p>

scholarly journals Research of Dual-channel Supply Chain Decision with Consideration of Low-carbon and Fairness Concerns

2021 ◽  
Vol 275 ◽  
pp. 02062
Author(s):  
Guoshuai Niu ◽  
Qi Wei
Keyword(s):  
Decision Making ◽  
Supply Chain ◽  
Single Channel ◽  
Optimal Decision ◽  
Chain Model ◽  
Low Carbon ◽  
Carbon Supply ◽  
Fairness Concerns ◽  
Fairness Concern ◽  
Double Channel

With in-depth implementation of policies on energy conservation and emission reduction and rising of low-carbon production practice in enterprises, low-carbon supply chain has gradually become a research issue which causes extensive attentions from scholars. However, most existing researches focus on supply chain decision and coordination under the background of single channel or mere consideration of fairness concerns of retailers. Therefore, the fairness concerns of manufacturers were taken into account in the double-channel low-carbon supply chain. A double-channel low-carbon supply chain model was constructed to research the influence of manufacturers’ fairness concerns to the optimal decision-making of all parties in the supply chain and to the overall performance of supply chain. The research results suggested that: with improvement of manufacturers’ fairness concern coefficient, the decision-making of supply chain members demonstrated different changing strength; the manufacturers’ fairness concern caused harm to overall profit of supply chain.

scholarly journals Complexity Analysis of Prefabrication Contractors’ Dynamic Price Competition in Mega Projects with Different Competition Strategies

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Jianbo Zhu ◽  
Qianqian Shi ◽  
Peng Wu ◽  
Zhaohan Sheng ◽  
Xiangyu Wang
Keyword(s):  
Price Competition ◽  
Complexity Analysis ◽  
System Stability ◽  
Price Adjustment ◽  
Competition Strategy ◽  
Dynamic Price ◽  
Adjustment Strategy ◽  
The Stability ◽  
Parameter Values ◽  
Initial Capacity

This paper considers a repeated duopoly game of prefabrication contractors in mega infrastructure projects and assumes the contractors exhibit bounded rationality. Based on the theory of bifurcation of dynamical systems, a dynamic price competition model is constructed considering different competition strategies. Accordingly, the stability of the equilibrium point of the system is discussed considering different initial market capacities, and numerical simulation is performed. The results show the system has a unique equilibrium solution when initial capacity is high and the parameters meet certain conditions. The contractors’ price adjustment strategy has an important influence on system stability. However, an overly aggressive competition strategy is not conducive to system stability. Moreover, the system is sensitive to initial parameter values.

scholarly journals Study on Complex Advertising and Price Competition Dual-Channel Supply Chain Models Considering the Overconfidence Manufacturer

2016 ◽  
Vol 2016 ◽  
pp. 1-18 ◽  
Author(s):  
Junhai Ma ◽  
Qiuxiang Li ◽  
Binshuo Bao
Keyword(s):  
Decision Making ◽  
Supply Chain ◽  
Price Competition ◽  
Stable Region ◽  
Game Model ◽  
Chain Model ◽  
Channel Competition ◽  
Dual Channel ◽  
Decentralized Decision Making ◽  
Dual Channel Supply Chain

In order to explore how the manufacturers make decisions when two manufacturers compete for local advertising investment, we examine two noncooperative models (Stackelberg and Nash game) and propose a cost sharing contract to investigate channel competition of dual-channel supply chain. The dominant power between manufacturer and retailer and the effect of channel competition strategy on price are mainly discussed. In addition, dynamic system concepts are integrated into Stackelberg game model based on bounded rational mechanism. We analyze the local stability and find that the stability level of the dual-channel supply chains depends crucially on the price adjustment speed, the level of demand uncertainty, and the risk preference. The outcome shows that, under the master-slave game model, the profits of manufacturers are greater than that under decentralized decision-making mode, and the profits of retailers under master-slave game model are less than that under decentralized decision-making mode. The profits of manufacturers and retailers in the stable region are greater than that in unstable region. Finally, the delay feedback control method is utilized and effectively controls the chaotic behavior of dual-channel supply chain model. The results have theoretical and practical significance for the game models in terms of advertising and price competition.

scholarly journals Low carbon joint strategy and coordination for a dyadic supply chain with Nash bargaining fairness

2022 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Jianxin Chen ◽  
Lin Sun ◽  
Tonghua Zhang ◽  
Rui Hou
Keyword(s):  
Supply Chain ◽  
Cost Sharing ◽  
Bargaining Power ◽  
Unit Cost ◽  
Revenue Sharing ◽  
Nash Bargaining ◽  
Low Carbon ◽  
Joint Decision ◽  
Effort Level ◽  
Fairness Concern

<p style='text-indent:20px;'>In the paper, fairness concern criterion is utilized to explore the coordination of a dyadic supply chain with a fairness-concerned retailer (acting as a newsvendor), who is committed to low carbon efforts. Two models are developed for stochastic demand disturbances in the forms of multiplicative case and additive case, respectively. Firstly, the optimal joint decision of the retailer and the supply chain are proposed in two scenarios, i.e., decentralized decision and the centralized decision. Secondly, in order to realize channel coordination, the contract of revenue sharing combined with the mechanism of low-carbon cost sharing is designed. Moreover, the influences of the retailer's fairness concern and bargaining power on the joint decision and the contract parameters are also investigated. Finally, numerical examples are given to illustrate the theoretical results and some suggestions to supply chain management are also provided. The results show that the revenue sharing contract can make the supply chain achieved coordination with the cost sharing mechanism of low-carbon efforts. Furthermore, the optimal low-carbon effort level and ordering quantity decrease in terms of fairness-concerned parameter and Nash bargaining power parameter, which increases in unit cost. However, the optimal pricing makes the opposite change.</p>

scholarly journals Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Ting Li ◽  
Dongyun Yan ◽  
Xiaogang Ma
Keyword(s):  
Chaos Control ◽  
Stable Region ◽  
Game Model ◽  
Parameter Adaptation ◽  
Nash Equilibrium Point ◽  
Price Game ◽  
The Stability ◽  
Adaptation Method ◽  
Bifurcation Chaos

With application of nonlinear theory, this paper makes study on the long-term competition in a recycling price game model by manufacturers and retailers. The paper makes analysis on the local stability of the Nash equilibrium point and gives the corresponding stable region. It has been found that the stability of the whole system would be significantly impacted by the following factors which include adjustment speed of the recycling price, the proportion of recycled products by channels, the sensitivity of consumers for the recycling price, and the price cross-elasticity between two channels. By means of the simulation technology, the complexity of the recycling price in the system in the long-term competition has been demonstrated. Owing to the change of parameters, bifurcation, chaos, and other phenomena would appear in the system. When the system is becoming chaotic, the profit of the whole system decreased. All these show that the operational efficiency for the whole system will be impaired by the chaos. Effective chaotic control of the system will be realized by the use of the parameter adaptation method.

scholarly journals The Stability and Complexity Analysis of a Low-Carbon Supply Chain Considering Fairness Concern Behavior and Sales Service

2019 ◽  
Vol 16 (15) ◽  
pp. 2711 ◽  
Author(s):  
Qiuxiang Li ◽  
Xingli Chen ◽  
Yimin Huang
Keyword(s):  
Supply Chain ◽  
Stable State ◽  
Stable Range ◽  
Direct Channel ◽  
Low Carbon ◽  
Supply Chain System ◽  
Chain System ◽  
Dual Channel ◽  
The Stability ◽  
Fairness Concern

This paper studies a low-carbon dual-channel supply chain in which a manufacturer sells products through the direct channel and traditional channel, and a retailer sells products through the traditional channel. The manufacturer considers carbon emission reduction and has fairness concern behavior. The retailer provides sales service in the traditional channel and considers fairness concern behavior. The objective of this paper is to analyze the effects of different parameter values on the price stability and utility of the supply chain system emphatically using 2D bifurcation diagram, parameter plot basin, the basins of attraction, chaos attractor and sensitivity to the initial value, etc. The results find that the retailer’s fairness concern behavior shrinks the stability of the supply chain system more than that of the manufacturer’s fairness concern behavior. The system stability region decreases with the increase of carbon emission reduction level and the retailer’s fairness concern. The customers’ preference for the direct channel decreases the stable range of the direct channel, while it enlarges the stable range of the traditional channel. The supply chain system enters into chaos through flip bifurcation with the increase of price adjustment speed. In a stable state, the manufacture improving customer’s preference for the direct channel and the retailer choosing the appropriate fairness concern level can achieve the maximum utility separately. In a chaotic state, the average utilities of the manufacturer and retailer all decline, while that of the retailer declines even more. By selecting appropriate control parameter, the low-carbon dual-channel supply chain system can return to a stable state from chaos again. The research of this paper is of great significance to price decisions of participants and supply chain operation management.

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